An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity. $100 for phone service, and $200 for advertising and marketing. The priming cost is $40 per thousand Pages for paper and ink. a. Write a cost function to represent the cost C x for printing x thousand Pages for a given month. b. Write a function representing the average cost C ¯ x for printing x thousand Pages for a given month. c. Evaluate C ¯ 20 , C ¯ 50 , C ¯ 100 , and C ¯ 200 . d. Interpret the meaning of C ¯ 200 . e. For a given month, if the printing company could print an unlimited number of Pages, what value would the average cost per thousand Pages approach? What does this mean in the context of the problem?
An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity. $100 for phone service, and $200 for advertising and marketing. The priming cost is $40 per thousand Pages for paper and ink. a. Write a cost function to represent the cost C x for printing x thousand Pages for a given month. b. Write a function representing the average cost C ¯ x for printing x thousand Pages for a given month. c. Evaluate C ¯ 20 , C ¯ 50 , C ¯ 100 , and C ¯ 200 . d. Interpret the meaning of C ¯ 200 . e. For a given month, if the printing company could print an unlimited number of Pages, what value would the average cost per thousand Pages approach? What does this mean in the context of the problem?
An on-demand printing company has monthly overhead costs of
$1200
in rent,
$420
in electricity.
$100
for phone service, and
$200
for advertising and marketing. The priming cost is
$40
per thousand Pages for paper and ink.
a. Write a cost function to represent the cost
C
x
for printing x thousand Pages for a given month.
b. Write a function representing the average cost
C
¯
x
for printing x thousand Pages for a given month.
c. Evaluate
C
¯
20
,
C
¯
50
,
C
¯
100
,
and
C
¯
200
.
d. Interpret the meaning of
C
¯
200
.
e. For a given month, if the printing company could print an unlimited number of Pages, what value would the average cost per thousand Pages approach? What does this mean in the context of the problem?
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